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Finding the Third Proportional to 76,456.13 and 112,431.38

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Solution

The third proportional to 76,456.13 and 112,431.38 is: 165,334.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,456.13 : 112,431.38 = 112,431.38 : x
  2. Step 2: Convert to fraction form
    76,456.13/112,431.38 = 112,431.38/x
  3. Step 3: Cross multiply
    76,456.13x = 112,431.38 × 112,431.38
  4. Step 4: Simplify right side
    76,456.13x = 12,640,814,084.39
  5. Step 5: Solve for x
    x = 12,640,814,084.39/76,456.13
  6. Step 6: Final answer
    x = 165,334.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.